55414800 has 240 divisors, whose sum is σ = 225719680. Its totient is φ = 12648960.

The previous prime is 55414771. The next prime is 55414813. The reversal of 55414800 is 841455.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×55414800³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75234 + ... + 75966.

Almost surely, 2^55414800 is an apocalyptic number.

55414800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112859840).

55414800 is an abundant number, since it is smaller than the sum of its proper divisors (170304880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55414800 is a wasteful number, since it uses less digits than its factorization.

55414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55414800 is about 7444.1117670277. Note that the first 3 decimals coincide. The cubic root of 55414800 is about 381.2488918717.

The spelling of 55414800 in words is "fifty-five million, four hundred fourteen thousand, eight hundred".